Mathlib Map

Theorems · Definition

CompleteDistribLattice.copy

{α : Type u} →
  (c : CompleteDistribLattice α) →
    (le : α → α → Prop) →
      le = LE.le →
        (top : α) →
          top = ⊤ →
            (bot : α) →
              bot = ⊥ →
                (sup : α → α → α) →
                  sup = max →
                    (inf : α → α → α) →
                      inf = min →
                        (sdiff : α → α → α) →
                          sdiff = SDiff.sdiff →
                            (hnot : α → α) →
                              hnot = HNot.hnot →
                                (himp : α → α → α) →
                                  himp = HImp.himp →
                                    (compl : α → α) →
                                      compl = Compl.compl →
                                        (sSup : Set α → α) →
                                          sSup = SupSet.sSup →
                                            (sInf : Set α → α) → sInf = InfSet.sInf → CompleteDistribLattice α

A function to create a provable equal copy of a complete distributive lattice with possibly different definitional equalities.

Defined in
Mathlib.Order.Copy
Cited by
0 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Quot.sound

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Cites22

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Setstatement and proof · cited by 53,352
  • Top.topstatement and proof · cited by 9,680
  • Bot.botstatement and proof · cited by 4,720
  • Compl.complstatement and proof · cited by 2,925
  • SupSet.sSupstatement and proof · cited by 954
  • InfSet.sInfstatement and proof · cited by 935
  • SupSetstatement · cited by 154
  • HImp.himpstatement and proof · cited by 153
  • InfSetstatement · cited by 145
  • Botstatement · cited by 96
  • Topstatement · cited by 93
  • Order.Frameproof · cited by 88

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